[0001] The present invention relates to a feedback-type position control method, and more
particularly, to a method by which position control can be effected properly and easily
in machines of various specifications without using various position sensors.
[0002] In a machine which comprises a movable section, connected to a servomotor by means
of a rotary-motion-to-linear-motion converter mechanism or the like, and a rotary
position sensor attached to the servomotor, as is generally known, the position of
the machine movable section is detected according to feedback pulses delivered from
the position sensor accompanying the motor rotation, while the machine movable section
is being moved by means of the servomotor with the aid of the converter mechanism
or the like, whereby position control of the machine movable section is effected.
Also known is an arrangement such that position control for a target moved position
is finished when the actual moved position of the machine movable section, detected
according to the feedback pulses, enters an in-position zone which contains the target
position, and a warning is issued to the effect that a deviation between the target
moved position and the actual moved position is too large when the positional deviation
departs from an allowable range. In consideration of the allowable ranges for the
in-position zone and the positional deviation, it is advisable to set a movement of
the machine movable section corresponding to the number of input feedback pulses at
a value divisible by the pulse number. Meanwhile, a movement of the machine movable
section for each revolution of the servomotor varies depending on the equipment arrangement,
such as the screw pitch of the rotary-motion-to-linear-motion converter mechanism,
the gear ratio of a speed reduction mechanism, etc.
[0003] Conventionally, therefore, a position sensor, such as a pulse coder, is used which
has a resolution high enough to fulfill the aforementioned requirements for the relationship
between the movement of the machine movable section, such as a table, and the feedback
pulse number. Used in a machine whose table movement for each revolution of the servomotor
is 6 mm, for example, is a pulse coder of a type such that 3,000 pulses are generated
with every servomotor revolution in each of two phases with a phase difference of
90°, and feedback pulses are delivered at the leading and trailing edges of each of
the generated pulses. In this case, 12,000 feedback pulses are delivered from the
pulse coder with every motor revolution, so that the resolution (table movement per
one feedback pulse) of the pulse coder is 0.5 µ. Used in a machine whose table movement
for each motor revolution is 8 mm or 10 mm, according to another example, is a pulse
coder of a type such that 8,000 or 10,000 feedback pulses are generated with every
motor revolution, that is, the resolution is 1 µ or 0.5 µ.
[0004] The conventional method described above uses a pulse coder whose resolution is suited
for the specifications of the machine and servomotor. When controlling the operations
of machines and servomotors of various types, therefore, various pulse coders of different
resolutions must be provided for use. Naturally, moreover, the types of available
pulse coders are limited, so that the machines and servomotors to which the aforementioned
conventional method are limited. Furthermore, the management of the machines, servomotors,
and pulse coders is complicated.
[0005] As another method which fulfills the aforementioned requirements for the relationship
between the movement of the machine movable section and the feedback pulse number,
use of a control system (Fig. 3) including an optional CMR (command multiplied ratio)
6, whose operation characteristic can be variably adjusted so as to change the significance
of a position command depending on the resolution of the pulse coder, is generally
known. If a pulse coder 4 which generates one feedback pulse for each table movement
of 1 µ is used, for example, the operation characteristic of the CMR 6 is set so that
one movement command pulse is delivered from the CMR when a movement command (variation
of position command) of 1 µ is applied to the input of the CMR. If another pulse coder
4 which generates. e.g., 2.5 feedback pulses for each table movement of 1 µ is used.
moreover, the operation characteristic of the CMR 6 is set so that two or three movement
command pulses are alternately generated, and therefore, 2.5 movement command pulses
are delivered on the average when 1-µ movement commands are inputted in succession.
[0006] Even though the movement command is fixed, however, different numbers of movement
command pulses are delivered from optional CMRs 6 with different operation characteristics.
According to the aforementioned conventional method in which the operation characteristic
of the CMR 6 is variably set, therefore, the in-position zone, used to discriminate
the arrival at the target position, and the allowable range, used to detect an excessive
positional deviation, must be modified every time the operation characteristic of
the CMR 6 is changed. Naturally, moreover, the setting range for the operation characteristic
of the CMR 6 is limited, so that available pulse coders for the execution of the aforementioned
conventional method are limited.
[0007] The object of the present invention is to provide a feedback-type position control
method by which position control can be effected properly and easily in various machines
without using various position sensors.
[0008] According to the present invention there is provided a feedback position control
method performed in a machine which comprises a movable section driven by a servomotor,
there being a rotary position sensor connected to the servomotor and supplying pulses
which are used for feedback control of the servomotor, the method being characterised
in that: an original sequence of pulses from the rotary position sensor is converted
into a new sequence of feedback pulses having a spacing between successive ones of
the new feedback pulses which differs from the spacing between successive ones of
said original pulses, such that each interval between successive ones of the new feedback
pulses is set to correspond to a movement, of the machine movable section, defined
by a unit of command movement provided for the servomotor.
[0009] According to the present invention, as described above, the feedback pulses delivered
from the rotary position sensor accompanying the rotation of the servomotor are converted
into position feedback pulses having a pulse number capable of dividing the movement
of the machine movable section corresponding to the number of the feedback pulses,
so that the significance of one input feedback pulse, and therefore, the significance
of the position feedback pulse, can be properly set in accordance with the specifications
of the machine. As a result, the position control of machines of various specifications
can be executed by using a position sensor of one type, and it is unnecessary to selectively
use various position sensors depending on the types of the machines and servomotors.
Thus, the complicated management of the machines, servomotors, and position sensors
are needless, and there are no restrictions on the respective specifications of the
machines, servomotors, and position sensors. Furthermore, the in-position zone, used
to discriminate the arrival at the target position, and the allowable position deviation
range, used to detect an excessive positional deviation, can be properly set, and
the set values need not be frequently modified.
Brief Description of the Drawings
[0010]
Fig. 1 is a functional block diagram showing a digital servo system for embodying
a feedback-type position control method according to one embodiment of the present
invention;
Fig. 2 is a flow chart illustrating an optional DMR process executed by means of a
processor of the digital servo system; and
Fig. 3 is a schematic block diagram showing a conventional servo system including
an optional CMR.
[0011] Referring to Fig. 1, a servo system for embodying a position control method according
to an embodiment of the present invention comprises a digital servo circuit for accomplishing
the respective functions of a position control section 1, a speed control section
2, and a pulse number converter means (optional DMR) 5, the servo circuit including
a processor (not shown) used to execute software processing for fulfilling the respective
functions of those elements. A servomotor 3 is fitted with a rotary position sensor,
such as a pulse coder 4, which is designed so as to deliver, e.g., 40,000 feedback
pulses while the servomotor 3 makes one revolution.
[0012] Functionally, the digital servo circuit is arranged to convert the feedback pulses
delivered from the pulse coder 4 into position feedback pulses by means of the optional
DMR 5, as described in detail later, obtain a speed command Vc in the position control
section 1 on the basis of a deviation (positional deviation) between the number of
position feedback pulses and a position command ΔMn distributed from a numerical control
device for use as a host control device, and execute proportional-plus-integral control
and the like in the speed control section 2 on the basis of the speed command Vc,
thereby obtaining a torque command. The servo system, which is provided with a PWM
control circuit (not shown) for generating a PWM signal from the torque command, is
operable to drive the servomotor 3 by the use of the PWM signal. A machine, which
is operated under the control of the servo system, includes a rotary-motion-to-linear-motion
converter mechanism which is formed of, for example, a ball screw/ball nut mechanism
disposed between a speed reducer, connected to the output shaft of the servomotor
3, and a machine movable section such as a table.
[0013] More specifically, the optional DMR 5 is operable to deliver yn number of position
feedback pulses depending on an input pulse number xn and a pulse number conversion
coefficient yn/xn which can be set variably when it is supplied with the xn number
of feedback pulses, thereby making the significance of one input feedback pulse, and
therefore, the significance of one position feedback pulse, changeable. Further specifically,
a command movement of the machine movable section for each pulse of the position command
ΔMn is determined depending on the specifications of the servo system and the servomotor
and the specifications of the machine, such as the ball screw pitch, the gear ratio
of the speed reducer, etc.. while the resolution of the pulse coder 4 (actual movement
of the machine movable section sufficient for the delivery of one feedback pulse from
the pulse coder 4) is determined depending on the specifications of the pulse coder
4. Accordingly, the pulse number conversion coefficient yn/xn is set so that the significance
of one position feedback pulse (actual movement of the machine movable section sufficient
for the delivery of one position feedback pulse from the optional DMR 5) is equivalent
to the command movement for each position command pulse.
[0014] If the command movement of the machine movable section for each position command
pulse is 1 µ, and if the number of feedback pulses delivered from the pulse coder
4 for each revolution of the servomotor 3 is 40,000, for example, the pulse number
conversion coefficient yn/xn is set at 3/20, 1/5, 1/4, and 3/10 in cases where the
method of the present embodiment is applied to machines in which the actual movement
of the machine movable section for each revolution of the servomotor is 6 mm, 8 mm,
10 mm, and 12 mm, respectively. If the command movement of the machine movable section
for each position command pulse, the number of feedback pulses delivered for each
motor revolution, and the actual movement of the machine movable section for each
motor revolution are 0.5 µ, 40,000, and 6 mm, respectively, the pulse number conversion
coefficient yn/xn is set at 3/10.
[0015] The processor of the digital servo circuit, which is operable to execute the software
processing, including a position loop process, speed loop process, and optional DMR
process, in order to fulfill the respective functions of the position control section
1, the speed control section 2, and the optional DMR 5 of Fig. 1, as described above,
is so arranged as to execute the software processing at intervals of a predetermined
cycle. In this case, if the number of position feedback pulses is calculated by simply
multiplying the number of feedback pulses delivered from the pulse coder 4 within
one processing cycle by the conversion coefficient yn/xn, the calculation result generally
involves a fraction, so that position control is subject to an error. In order to
obviate this, the optional DMR 5 of the present embodiment comprises a first arithmetic
logical unit 51 for multiplying the number xn of feedback pulses delivered from the
pulse coder 4 within one processing cycle by a conversion coefficient A, a second
arithmetic logical unit 52 for dividing the sum of the remainder Rn-1 and the product
of the pulse number xn and the coefficient A by a second conversion coefficient B
and delivering position feedback pulses corresponding in number to the quotient resulting
from this calculation, and a storage unit 53 for storing the remainder Rn resulting
from the calculation in the second arithmetic logical unit.
[0016] Referring now to Fig. 2, the optional DMR process executed by means of the processor
of the digital servo circuit of Fig. 1 will be described.
[0017] The processor reads the number xn of feedback pulses delivered from the pulse coder
4 within a period corresponding to the present processing cycle (Step S1), multiplies
the pulse number xn by the first conversion coefficient A, and loads the resulting
value xn ˙ A into a first register (Step S2). Then, the processor adds the remainder
Rn-1 obtained as a result of the calculation in the preceding cycle to the value stored
in the first register, and loads the resulting value xn ˙ A + Rn-1 into a second register
(Step S3). Further, the processor divides the absolute value | xn ˙ A + Rn-1 | of
the value stored in the second register by the second conversion coefficient B, thereby
obtaining a quotient yn' and a remainder Rn' (Step S4).
[0018] Then, the processor determines whether or not the stored value xn ˙ A + Rn-1 of the
second register is positive or zero (Step S5). If the result of the decision is affirmative,
the quotient yn' and the remainder Rn' obtained in Step S4 are loaded, as the position
feedback pulse number yn and the remainder Rn for the present processing cycle, into
third and fourth registers, respectively (Steps S6 and S7). If the result of the decision
in Step S5 is negative, on the other hand, the value 1 is subtracted from a value
-yn' obtained by inverting the sign of the quotient yn' obtained in Step S4, and the
resulting value (-yn' - 1) is loaded as the position feedback pulse number yn for
the present processing cycle into the third register (Step S9). Then, the remainder
Rn' obtained in Step S4 is subtracted from the second conversion coefficient B, and
the resulting value (B - Rn') is loaded as the remainder Rn for the present processing
cycle into the fourth register (Step S10).
[0019] In Step S8 directly following Step S7 or S10, the processor reads out the position
feedback pulse number yn for the present processing cycle loaded in Step S6 or S9,
whereupon the optional DMR process for the present processing cycle ends. Then, the
position loop control process based on the pulse number yn is entered.
Table 1
| xn |
yn |
Rn |
∑xn |
∑yn |
| 0 |
0 |
0 |
0 |
0 |
| 1 |
0 |
3 |
1 |
0 |
| 2 |
1 |
4 |
3 |
1 |
| 3 |
2 |
3 |
6 |
3 |
| 4 |
3 |
0 |
10 |
6 |
| 5 |
3 |
0 |
15 |
9 |
| 6 |
3 |
3 |
21 |
12 |
| 5 |
3 |
3 |
26 |
15 |
| 4 |
3 |
0 |
30 |
18 |
| 3 |
1 |
4 |
33 |
19 |
| 2 |
2 |
0 |
35 |
21 |
| 1 |
0 |
3 |
36 |
21 |
| 0 |
0 |
3 |
36 |
21 |
Table 2
| xn |
yn |
Rn |
∑xn |
∑yn |
| 0 |
0 |
3 |
36 |
21 |
| -1 |
0 |
0 |
35 |
21 |
| -2 |
-2 |
4 |
33 |
19 |
| -3 |
-2 |
5 |
30 |
17 |
| -4 |
-2 |
3 |
26 |
15 |
| -5 |
-3 |
3 |
21 |
12 |
| -6 |
-4 |
5 |
15 |
8 |
| -5 |
-3 |
5 |
10 |
5 |
| -4 |
-2 |
3 |
6 |
3 |
| -3 |
-2 |
4 |
3 |
1 |
| -2 |
-1 |
3 |
1 |
0 |
| -1 |
0 |
0 |
0 |
0 |
| 0 |
0 |
0 |
0 |
0 |
[0020] If the conversion coefficient A/B in the optional DMR 5 is set at 3/5, and if the
feedback pulse number xn for each processing cycle increases one by one from 1 to
6, and then decreases one by one, the position feedback pulse number yn, remainder
Rn, cumulative feedback pulse number Σxn, and cumulative position feedback pulse number
Σyn for each processing cycle vary as shown in Table 1. In the meantime, the respective
initial values of the parameters xn to Σyn are zero. Thereafter, if the servomotor
3 rotates reversely, and if the feedback pulse number xn for each processing cycle
changes in like manner, the parameters yn, Rn, Σxn, and Σyn vary as shown in Table
2.
[0021] The present invention is not limited to the embodiment described above, and various
modifications may be effected therein.
[0022] For example, the present invention may be embodied using a servo system which is
provided with the optional CMR 6 shown in Fig. 3. In this case, it is necessary only
that the significance of one position feedback pulse be equivalent to that of one
pulse delivered from the optional CMR 6.
[0023] In the embodiment described above, moreover, the first conversion coefficient A is
set to a value equal to or smaller than that of the second conversion coefficient
B, that is, the conversion coefficient A/B in the optional CMR 6 is set equal to or
smaller than the value 1. If a low-resolution pulse coder is used, however, the first
conversion coefficient A may be set at a value greater than that of the second conversion
coefficient B so that the conversion coefficient A/B in the optional CMR 6 is greater
than the value 1.
1. A feedback position control method performed in a machine which comprises a movable
section driven by a servomotor (3), there being a rotary position sensor (4) connected
to the servomotor (3) and supplying pulses which are used for feedback control of
the servomotor (3), the method being characterised in that:
an original sequence of pulses from the rotary position sensor (4) is converted
into a new sequence of feedback pulses having a spacing between successive ones of
the new feedback pulses which differs from the spacing between successive ones of
said original pulses, such that each interval between successive ones of the new feedback
pulses is set to correspond to a movement, of the machine movable section, defined
by a unit of command movement (ΔMn) provided for the servomotor (3) .
2. A feedback position control method according to claim 1, wherein said original sequence
of pulses is cyclically received at intervals of a predetermined period for each cycle;
and wherein the conversion thereof into said new sequence of feedback pulses includes
the sub-steps of:
(b1) obtaining the product of the number of input feedback pulses for each cycle and
a first conversion coefficient (A),
(b2) obtaining a quotient and a remainder by dividing the sum of the product for each
cycle and a remainder for each preceding cycle by a second conversion coefficient
(B),
(b3) storing the remainder (Rn) obtained in said step (b2) as the remainder used to
obtain the sum for the next cycle, and
(b4) delivering the new position feedback pulses corresponding in number to the quotient
obtained in said step (b2).
3. A feedback position control method according to claim 2, wherein the first conversion
coefficient (A) is set at a value smaller than that of the second conversion coefficient
(B).
4. A feedback position control method according to claim 1, wherein said original sequence
of pulses is cyclically received at intervals of a predetermined period for each cycle;
and wherein the conversion thereof into said new sequence of feedback pulses includes
the sub-steps of:
(b1) obtaining the product of the number of input feedback pulses for each cycle and
a first conversion coefficient (A),
(b2) obtaining the sum of the product for each cycle and a remainder for each preceding
cycle,
(b3) obtaining a quotient and a remainder (Rn) by dividing the absolute value of the
sum by a second conversion coefficient (B),
(b4) delivering the new position feedback pulses corresponding in number to the quotient
when the sum is positive or zero and storing the remainder obtained in said step (b3)
as the remainder used to obtain the sum for the next cycle, and
(b5) delivering the new position feedback pulses corresponding in number to a value
obtained by subtracting the value of 1 from a value obtained by inverting the sign
of the quotient when the sum is negative and storing a value obtained by subtracting
the remainder obtained in said step (b3) from the second conversion coefficient (B)
as the remainder used to obtain the sum for the next cycle.
5. A feedback position control method according to claim 4, wherein the first conversion
coefficient (A) is set at a value smaller than that of the second conversion coefficient
(B).
1. Verfahren zur Positionsregelung mit Rückführung, das in einer Maschine durchgeführt
wird, die einen bewegbaren Abschnitt umfaßt, der mittels eines Servomotors (3) getrieben
wird, wobei ein Drehpositionssensor (4) mit dem Servomotor (3) verbunden ist und Impulse
liefert, die zur Rückführungsregelung des Servomotors (3) benutzt werden, welches
Verfahren dadurch gekennzeichnet ist, daß
eine ursprüngliche Folge von Impulsen aus dem Drehpositionssensor (4) in eine neue
Folge von Rückführungsimpulsen, die einen Abstand zwischen aufeinanderfolgenden der
neuen Rückführungsimpulse hat, welcher sich von dem Abstand zwischen aufeinanderfolgenden
der ursprünglichen Impulse unterscheidet, derart umgesetzt wird, daß jedes Intervall
zwischen aufeinanderfolgenden der neuen Rückführungsimpulse so eingestellt ist, daß
es einer Bewegung des bewegbaren Abschnitts der Maschine entspricht, die durch eine
Einheit einer Sollbewegung (ΔMn) definiert ist, die für den Servomotor (3) vorgesehen
ist.
2. Verfahren zur Positionsregelung mit Rückführung nach Anspruch 1, bei dem die ursprüngliche
Folge von Impulsen zyklisch bei Intervallen einer vorbestimmten Periode für jeden
Zyklus empfangen wird und bei dem die Umsetzung derselben in die neue Folge von Rückführungsimpulsen
Unter-Schritte enthält zum
(b1) Gewinnen des Produkts der Anzahl von eingegebenen Rückführungsimpulsen für jeden
Zyklus und eines ersten Umsetzungskoeffizienten (A),
(b2) Gewinnen eines Quotienten und eines Rests durch Dividieren der Summe des Produkts
für jeden Zyklus und eines Rests für jeden vorhergehenden Zyklus durch einen zweiten
Umsetzungskoeffizienten (B),
(b3) Speichern des Rests (Rn), der in Schritt (b2) gewonnen ist, als den Rest, welcher
benutzt wird, um die Summe für den nächsten Zyklus zu gewinnen, und
(b4) Liefern der neuen Positions-Rückführungsimpulse, deren Anzahl dem Quotienten
entspricht, der in Schritt (b2) gewonnen ist.
3. Verfahren zur Positionsregelung mit Rückführung nach Anspruch 2, bei dem der erste
Umsetzungskoeffizient (A) auf einen Wert eingestellt ist, der kleiner als derjenige
des zweiten Umsetzungskoeffizienten (B) ist.
4. Verfahren zur Positionsregelung mit Rückführung nach Anspruch 1, bei dem die ursprüngliche
Folge von Impulsen zyklisch bei Intervallen einer vorbestimmten Periode für jeden
Zyklus empfangen wird und bei dem die Umsetzung derselben in die neue Folge von Rückführungsimpulsen
Unter-Schritte enthält zum
(b1) Gewinnen des Produkts der Anzahl von eingegebenen Rückführungsimpulsen für jeden
Zyklus und eines ersten Umsetzungskoeffizienten (A),
(b2) Gewinnen der Summe des Produkts für jeden Zyklus und eines Rests für jeden vorhergehenden
Zyklus,
(b3) Gewinnen eines Quotienten und eines Rests (Rn) durch Dividieren des Absolutwerts
der Summe durch einen zweiten Umsetzungskoeffizienten (B),
(b4) Liefern der neuen Positions-Rückführungsimpulse, deren Anzahl dem Quotienten
entspricht, wenn die Summe positiv oder Null ist, und Speichern des Rests, der in
Schritt (b3) gewonnen ist, als den Rest, der benutzt wird, um die Summe für den nächsten
Zyklus zu gewinnen, und
(b5) Liefern der neuen Positions-Rückführungsimpulse, deren Anzahl einem Wert entspricht,
der duch Subtrahieren des Werts 1 von einem Wert gewonnen wird, welcher durch Umkehr
des Vorzeichens des Quotienten gewonnen ist, wenn die Summe negativ ist, und Speichern
eines Werts, der durch Subtrahieren des Rests, welcher in Schritt (b3) gewonnen ist,
von dem zweiten Umsetzungskoeffizienten (B) gewonnen wird, als den Rest, der benutzt
wird, um die Summe für den nächsten Zyklus zu gewinnen.
5. Verfahren zur Positionsregelung mit Rückführung nach Anspruch 4, bei dem der erste
Umsetzungskoeffizient (A) auf einen Wert eingestellt ist, der kleiner als derjenige
des zweiten Umsetzungskoeffizienten (B) ist.
1. Un procédé de commande de position à contre réaction, effectué dans une machine qui
comprend une partie mobile entraînée par un servomoteur (3), un capteur de position
rotatif (4) étant relié au servomoteur (3) et fournissant des impulsions qui sont
utilisées pour une commande en contre réaction du servomoteur (3), le procédé étant
caractérisé en ce que :
une séquence originale d'impulsions provenant du capteur de position rotatif (4) est
convertie en une nouvelle séquence d'impulsions à contre réaction présentant un écartement
entre les nouvelles impulsions à contre réaction successives qui diffère de l'écartement
entre lesdites impulsions d'origine successives, de telle manière que chaque intervalle
entre les nouvelles impulsions à contre réaction successives est réglé pour correspondre
à un mouvement, de la partie mobile de la machine, défini par un dispositif de mouvement
de commande (ΔMn) prévu pour le servomoteur (3).
2. Un procédé de commande de position à contre réaction selon la revendication 1, dans
lequel ladite séquence originale d'impulsions est reçue de manière cyclique à des
intervalles d'une période prédéterminée pour chaque cycle ; et dans lequel sa conversion
pour donner ladite nouvelle séquence d'impulsions à contre réaction comprend les sous-opérations
consistant à :
(b1) obtenir le produit du nombre d'impulsions à contre réaction d'entrée pour chaque
cycle et d'un premier coefficient de conversion (A),
(b2) obtenir un quotient et un reste en divisant, par un second coefficient de conversion
(B), la somme du produit pour chaque cycle et d'un reste pour chaque cycle précédent,
(b3) stocker le reste (Rn) obtenu dans ladite opération (b2) comme étant le reste
utilisé pour obtenir la somme pour le cycle suivant, et
(b4) délivrer les nouvelles impulsions à contre réaction de position en nombre correspondant
au quotient obtenu dans ladite opération (b2).
3. Un procédé de commande de position à contre réaction selon la revendication 2, dans
lequel le premier coefficient de conversion (A) est réglé à une valeur plus petite
que celle du second coefficient de conversion (B).
4. Un procédé de commande de position à contre réaction selon la revendication 1, dans
lequel ladite séquence originale d'impulsions est reçue de manière cyclique à des
intervalles d'une période prédéterminée pour chaque cycle ; et dans lequel sa conversion
pour donner la nouvelle séquence d'impulsions de contre réaction comprend les sous-opérations
consistant à :
(b1) obtenir le produit du nombre d'impulsions à contre réaction d'entrée pour chaque
cycle et d'un premier coefficient de conversion (A),
(b2) obtenir la somme du produit pour chaque cycle et d'un reste pour chaque cycle
précédent,
(b3) obtenir un quotient et un reste (Rn) en divisant la valeur absolue de la somme
par un second coefficient de conversion (B),
(b4) délivrer les nouvelles impulsions à contre réaction de position en nombre correspondant
au quotient lorsque la somme est positive ou nulle, et stocker le reste obtenu dans
ladite opération (b3) comme étant le reste utilisé pour obtenir la somme pour le cycle
suivant, et
(b5) délivrer les nouvelles impulsions à contre réaction de position en nombre correspondant
à une valeur obtenue en soustrayant la valeur de 1 d'une valeur obtenue en inversant
le signe du quotient lorsque la somme est négative et en stockant une valeur obtenue
en soustrayant le reste obtenu dans ladite opération (b3) du second coefficient de
conversion (B) comme étant le reste utilisé pour obtenir la somme pour le cycle suivant.
5. Un procédé de commande de position à contre réaction selon la revendication 4, dans
lequel le premier coefficient de conversion (A) est réglé à une valeur inférieure
à celle du second coefficient de conversion (B).